Theorems · Theorem · commutative algebra
RingHom.ofLocalizationSpan_iff_finite
∀ (P : {R S : Type u} → [inst : CommRing R] → [inst_1 : CommRing S] → (R →+* S) → Prop),
RingHom.OfLocalizationSpan P ↔ RingHom.OfLocalizationFiniteSpan P- Defined in
- Mathlib.RingTheory.LocalProperties.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- CommRingstatement and proof · cited by 17,173
- Finsetproof · cited by 13,712
- RingHomstatement and proof · cited by 10,189
- Top.topproof · cited by 9,680
- SetLike.coeproof · cited by 8,199
- Set.Elemproof · cited by 7,166
- Ideal.spanproof · cited by 948
- Subtype.propproof · cited by 505
- Localization.Awayproof · cited by 162
- Localization.awayMapproof · cited by 33
Cited by1
Results whose statement or proof uses this declaration.
- RingHom.finite_ofLocalizationSpanproof · cited by 0